131303132133129 has 48 divisors (see below), whose sum is σ = 214280187623424. Its totient is φ = 76787549042400.

The previous prime is 131303132133097. The next prime is 131303132133137. The reversal of 131303132133129 is 921331231303131.

131303132133129 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 313 + 2 + 1 + 331 + 2 + 9 = 666.

It is not a de Polignac number, because 131303132133129 - 2⁵ = 131303132133097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131303132133093 and 131303132133102.

It is not an unprimeable number, because it can be changed into a prime (131303132133149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198395179 + ... + 199055904.

It is an arithmetic number, because the mean of its divisors is an integer number (4464170575488).

Almost surely, 2^{131303132133129} is an apocalyptic number.

It is an amenable number.

131303132133129 is a deficient number, since it is larger than the sum of its proper divisors (82977055490295).

131303132133129 is a wasteful number, since it uses less digits than its factorization.

131303132133129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397451218 (or 397451215 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 131303132133129 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty-nine".